Which is the correct set-builder form for B = {0, 3, 6, 9, 12}?
Answer and explanation
Correct answer: B = {x : x = 3n, n ∈ W, 0 ≤ n ≤ 4}
The elements of B are obtained by multiplying 3 by 0, 1, 2, 3 and 4: 3(0) = 0, 3(1) = 3, 3(2) = 6, 3(3) = 9 and 3(4) = 12. Since zero is needed, the parameter must come from W, the whole numbers. Option B uses N, which excludes zero under the stated convention; C gives even numbers and D omits 0. Hence A is correct.
Frequently asked questions
What is the correct answer to this question?
B = {x : x = 3n, n ∈ W, 0 ≤ n ≤ 4}
Why is this the correct answer?
The elements of B are obtained by multiplying 3 by 0, 1, 2, 3 and 4: 3(0) = 0, 3(1) = 3, 3(2) = 6, 3(3) = 9 and 3(4) = 12. Since zero is needed, the parameter must come from W, the whole numbers. Option B uses N, which excludes zero under the stated convention; C gives even numbers and D omits 0. Hence A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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